Answer:
The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B
Step-by-step explanation:
Given as :
The distance drove by Jack Duffy = d = 12,568 miles
The fixed costs totaled = $1,485.00
The variable cost totaled = $2,015.75
Let The cost per mile that Jack Duffy charge = $x cost per miles
Now, According to question
The totaled cost = The fixed costs + The variable cost
Or, The totaled cost = $1,485.00 + $2,015.75
I.e The totaled cost = $3500.75
Now,
The cost per mile that Jack Duffy charge = 
I.e x = 
∴ x = $0.278 per miles
So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .
Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B Answer
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)
499.50 is the total amount of discounts given to senior citizens
Answer:
A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation:
The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
